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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
- int1^2 x^(2x^2+1)(1+2lnx)dx is equal to
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- If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...
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- If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :
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- Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...
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- Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...
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- Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then
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- If u(n) = int(0)^(pi//2) x^(n)sinxdx, then the value of u(10) + 90 u(...
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- The value of int(1//e)^(tanx)(t)/(1+t^(2))dt+int(1//e)^(cotx)(1)/(t(1+...
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- Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...
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- lim(nrarroo) (sin'(pi)/(2n).sin'(2pi)/(2n).sin'(3pi)/(2n)"......."sin'...
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- Area bounded by the region consisting of points (x,y) satisfying y le ...
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- Find the area enclosed between the curves: y = loge (x + e) , x = loge...
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- The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :
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- The area bounded by the curve f(x)=x+sinx and its inverse function bet...
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- P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...
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- The ratio in which the curve y = x^(2) divides the region bounded by ...
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- If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)...
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- The area bounded by the curves y = x e^(x), = x e^(-x) and the line ...
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- Obtain the area enclosed by region bounded by the curves y = x ln x an...
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